Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10836b |
Isogeny class |
Conductor |
10836 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-113246650368432 = -1 · 24 · 313 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,-511999] |
[a1,a2,a3,a4,a6] |
Generators |
[82:243:1] |
Generators of the group modulo torsion |
j |
131072000/9709074963 |
j-invariant |
L |
4.7817973880197 |
L(r)(E,1)/r! |
Ω |
0.27257506270972 |
Real period |
R |
1.4619206603382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43344bu1 3612b1 75852d1 |
Quadratic twists by: -4 -3 -7 |